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Finding the Fourth Proportional to 98,397.54, 146,928.24 and 78,179.40

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Solution

The fourth proportional to 98,397.54, 146,928.24 and 78,179.40 is: 116,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.54 : 146,928.24 = 78,179.40 : x
  2. Step 2: Convert to fraction form
    98,397.54/146,928.24 = 78,179.40/x
  3. Step 3: Cross multiply
    98,397.54x = 146,928.24 × 78,179.40
  4. Step 4: Simplify right side
    98,397.54x = 11,486,761,646.26
  5. Step 5: Solve for x
    x = 11,486,761,646.26/98,397.54
  6. Step 6: Final answer
    x = 116,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.